Question 1

A wheel starts from rest and spins with a constant angular acceleration.As time goes on the acceleration vector for a point on the rim:

Accepted Answer

A) decreases in magnitude and becomes more nearly tangent to the rim 
B) decreases in magnitude and becomes more nearly radial 
C) increases in magnitude and becomes more nearly tangent to the rim 
D) increases in magnitude and becomes more nearly radial 
E) increases in magnitude but retains the same angle with the tangent to the rim 
A) decreases in magnitude and becomes more nearly tangent to the rim 
B) decreases in magnitude and becomes more nearly radial 
C) increases in magnitude and becomes more nearly tangent to the rim 
D) increases in magnitude and becomes more nearly radial 
E) increases in magnitude but retains the same angle with the tangent to the rim

Question 2

To increase the rotational inertia of a solid disk about its axis without changing its mass:

Accepted Answer

A) drill holes near the rim and put the material near the axis 
B) drill holes near the axis and put the material near the rim 
C) drill holes at points on a circle near the rim and put the material at points between the holes 
D) drill holes at points on a circle near the axis and put the material at points between the holes 
E) do none of the above (the rotational inertia cannot be changed without changing the mass) 
A) drill holes near the rim and put the material near the axis 
B) drill holes near the axis and put the material near the rim 
C) drill holes at points on a circle near the rim and put the material at points between the holes 
D) drill holes at points on a circle near the axis and put the material at points between the holes 
E) do none of the above (the rotational inertia cannot be changed without changing the mass)

Question 3

String is wrapped around the periphery of a 5.0-cm radius cylinder, free to rotate on its axis.The string is pulled straight out at a constant rate of 10 cm/s and does not slip on the cylinder.As each small segment of string leaves the cylinder, the segment's acceleration changes by:

Accepted Answer

A) 0 m/s2 
B) 0.010 m/s2 
C) 0.020 m/s2 
D) 0.10 m/s2 
E) 0.20 m/s2 
A) 0 m/s2 
B) 0.010 m/s2 
C) 0.020 m/s2 
D) 0.10 m/s2 
E) 0.20 m/s2

Question 4

This graph shows the angular velocity of a turntable as a function of time.What is its average angular acceleration between t = 2 s and t = 4 s?

Accepted Answer

A) −10 rad/s2  
B) −5 rad/s2 
C) 0 rad/s2 
D) 5 rad/s2 
E) 10 rad/s2 
A) −10 rad/s2  
B) −5 rad/s2 
C) 0 rad/s2 
D) 5 rad/s2 
E) 10 rad/s2

Question 5

A wheel is spinning at 27 rad/s but is slowing with an angular acceleration that has a magnitude given by (3.0 rad/s4)t2. It stops in a time of:

Accepted Answer

A) 1.7 s 
B) 2.6 s 
C) 3.0 s 
D) 4.4 s 
E) 9.0 s 
A) 1.7 s 
B) 2.6 s 
C) 3.0 s 
D) 4.4 s 
E) 9.0 s

Question 6

A particle moves in a circular path of radius 0.10 m with a constant angular speed of 5 rev/s.The acceleration of the particle is:

Accepted Answer

A) 0.10$\pi$ m/s2 
B) 0.50 m/s2 
C) 500$\pi$ m/s2 
D) 2.5 m/s2 
E) 10$\pi$2 m/s2 
A) 0.10$\pi$ m/s2 
B) 0.50 m/s2 
C) 500$\pi$ m/s2 
D) 2.5 m/s2 
E) 10$\pi$2 m/s2

Question 7

A wheel starts from rest and has an angular acceleration that is given by  $\alpha$  (t)= 6 rad/s4)t2.The angle through which it turns in time t is given by:

Accepted Answer

A) [(1/8)t4] rad/s4 
B) [(1/4)t4] rad/s4 
C) [(1/2)t4] rad/s4 
D) (t4)rad/s4 
E) 12 rad 
A) [(1/8)t4] rad/s4 
B) [(1/4)t4] rad/s4 
C) [(1/2)t4] rad/s4 
D) (t4)rad/s4 
E) 12 rad

Question 8

A uniform solid cylinder made of lead has the same mass and the same length as a uniform solid cylinder made of wood.The rotational inertia of the lead cylinder compared to the wooden one is:

Accepted Answer

A) greater 
B) less 
C) same 
D) unknown unless the radii are given 
E) unknown unless both the masses and the radii are given 
A) greater 
B) less 
C) same 
D) unknown unless the radii are given 
E) unknown unless both the masses and the radii are given

Question 9

A pulley with a radius of 3.0 cm and a rotational inertia of 4.5 *10-3 kg.m2 is suspended from the ceiling.A rope passes over it with a 2.0-kg block attached to one end and a 4.0-kg block attached to the other.The rope does not slip on the pulley.At any instant after the blocks start moving the object with the greatest kinetic energy is:

Accepted Answer

A) the heavier block 
B) the lighter block 
C) the pulley 
D) either block (the two blocks have the same kinetic energy) 
E) none (all three objects have the same kinetic energy) 
A) the heavier block 
B) the lighter block 
C) the pulley 
D) either block (the two blocks have the same kinetic energy) 
E) none (all three objects have the same kinetic energy)

Question 10

The coordinate of an object is given as a function of time by θ = 7t - 3t2, where θ is in radians and t is in seconds.Its average velocity over the interval from t = 0 to t = 2 s is:

Accepted Answer

A) 5 rad/s 
B) -5 rad/s 
C) 11 rad/s 
D) -11 rad/s 
E) 1 rad/s 
A) 5 rad/s 
B) -5 rad/s 
C) 11 rad/s 
D) -11 rad/s 
E) 1 rad/s

Question 11

One revolution is the same as:

Accepted Answer

A) "1 rad" 
B) "57 rad" 
C) "$\pi$/2 rad" 
D) "$\pi$rad" 
E) "2$\pi$ rad" 
A) "1 rad" 
B) "57 rad" 
C) "$\pi$/2 rad" 
D) "$\pi$rad" 
E) "2$\pi$ rad"

Question 12

The meter stick shown below rotates about an axis through the point marked    , 20 cm from one end.Five forces act on the stick: one at each end, one at the pivot point, and two 40 cm from one end, as shown.The magnitudes of the forces are all the same.Rank the forces according to the magnitudes of the torques they produce about the pivot point, least to greatest.

Accepted Answer

A)    ,
  ,
  ,
  ,
  
B)    and
  tie, then
  ,
  ,
  
C)    and
  tie, then
  ,
  ,
  
D)    ,
  ,
  , and
  tie, then
  
E)    and
  tie, then
  , then
  and
  tie 
A)    ,
  ,
  ,
  ,
  
B)    and
  tie, then
  ,
  ,
  
C)    and
  tie, then
  ,
  ,
  
D)    ,
  ,
  , and
  tie, then
  
E)    and
  tie, then
  , then
  and
  tie

Question 13

An object rotates from θ1 to θ2 through an angle that is less than 2π radians.Which of the following represents its angular displacement?

Accepted Answer

A) θ1 
B) θ2 
C) θ1 - θ2 
D) θ2 - θ1 
E) θ1 + θ2 
A) θ1 
B) θ2 
C) θ1 - θ2 
D) θ2 - θ1 
E) θ1 + θ2

Question 14

A thin rod of length L has a density that increases along its length, ρ = ρ0x.What is the rotational inertia of the rod around its less dense end?

Accepted Answer

A) ML2/12 
B) ML2/6 
C) ML2/3 
D) ML2/2 
E) ML2 
A) ML2/12 
B) ML2/6 
C) ML2/3 
D) ML2/2 
E) ML2

Question 15

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML2/12.When pivoted about a parallel axis through one end, its rotational inertia is:

Accepted Answer

A) ML2/12 
B) ML2/6 
C) ML2/3 
D) 7ML2/12 
E) 13ML2/12 
A) ML2/12 
B) ML2/6 
C) ML2/3 
D) 7ML2/12 
E) 13ML2/12

Question 16

The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR2, where M is its mass and R is its radius.If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

Accepted Answer

A) MR2 
B) (2/5)MR2 
C) (3/5)MR2 
D) (5/2)MR2 
E) (7/5)MR2 
A) MR2 
B) (2/5)MR2 
C) (3/5)MR2 
D) (5/2)MR2 
E) (7/5)MR2

Question 17

A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s2.The tangential acceleration of a point on its rim is:

Accepted Answer

A) 5.0 rad/s2 
B) 3.0 m/s2 
C) 5.0 m/s2 
D) 6.0 m/s2 
E) 12 m/s2 
A) 5.0 rad/s2 
B) 3.0 m/s2 
C) 5.0 m/s2 
D) 6.0 m/s2 
E) 12 m/s2

Question 18

The angular speed of the second hand of a watch is:

Accepted Answer

A) ($\pi$/1800)rad/s 
B) ($\pi$/60)rad/s 
C) ($\pi$/30)rad/s 
D) (2$\pi$)rad/s 
E) (60)rad/s 
A) ($\pi$/1800)rad/s 
B) ($\pi$/60)rad/s 
C) ($\pi$/30)rad/s 
D) (2$\pi$)rad/s 
E) (60)rad/s

Question 19

A child, riding on a large merry-go-round, travels a distance of 3000 m in a circle of diameter 40 m.The total angle through which she revolves is:

Accepted Answer

A) 50 rad 
B) 75 rad 
C) 150 rad 
D) 314 rad 
E) none of these 
A) 50 rad 
B) 75 rad 
C) 150 rad 
D) 314 rad 
E) none of these

Question 20

A car travels north at constant velocity.It goes over a piece of mud which sticks to the tire.The initial acceleration of the mud, as it leaves the ground, is:

Accepted Answer

A) vertically upward 
B) horizontally to the north 
C) horizontally to the south 
D) zero 
E) upward and forward at 45 °  to the horizontal 
A) vertically upward 
B) horizontally to the north 
C) horizontally to the south 
D) zero 
E) upward and forward at 45 °  to the horizontal

Exam 10: Rotation

A wheel starts from rest and spins with a constant angular acceleration.As time goes on the acceleration vector for a point on the rim:

To increase the rotational inertia of a solid disk about its axis without changing its mass:

String is wrapped around the periphery of a 5.0-cm radius cylinder, free to rotate on its axis.The string is pulled straight out at a constant rate of 10 cm/s and does not slip on the cylinder.As each small segment of string leaves the cylinder, the segment's acceleration changes by:

This graph shows the angular velocity of a turntable as a function of time.What is its average angular acceleration between t = 2 s and t = 4 s?

A wheel is spinning at 27 rad/s but is slowing with an angular acceleration that has a magnitude given by (3.0 rad/s4)t2. It stops in a time of:

A particle moves in a circular path of radius 0.10 m with a constant angular speed of 5 rev/s.The acceleration of the particle is:

A wheel starts from rest and has an angular acceleration that is given by α\alphaα (t)= 6 rad/s4)t2.The angle through which it turns in time t is given by:

A uniform solid cylinder made of lead has the same mass and the same length as a uniform solid cylinder made of wood.The rotational inertia of the lead cylinder compared to the wooden one is:

The coordinate of an object is given as a function of time by θ = 7t - 3t2, where θ is in radians and t is in seconds.Its average velocity over the interval from t = 0 to t = 2 s is:

One revolution is the same as:

An object rotates from θ1 to θ2 through an angle that is less than 2π radians.Which of the following represents its angular displacement?

A thin rod of length L has a density that increases along its length, ρ = ρ0x.What is the rotational inertia of the rod around its less dense end?

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML2/12.When pivoted about a parallel axis through one end, its rotational inertia is:

The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR2, where M is its mass and R is its radius.If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s2.The tangential acceleration of a point on its rim is:

The angular speed of the second hand of a watch is:

A child, riding on a large merry-go-round, travels a distance of 3000 m in a circle of diameter 40 m.The total angle through which she revolves is:

A car travels north at constant velocity.It goes over a piece of mud which sticks to the tire.The initial acceleration of the mud, as it leaves the ground, is:

Measurement

Motion Along a Straight Line

Vectors

Motion in Two and Three Dimensions

Force and Motion

Force and Motion

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves

Waves

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Coulombs Law

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference 1

Diffraction

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

A wheel is spinning at 27 rad/s but is slowing with an angular acceleration that has a magnitude given by (3.0 rad/s⁴)t^2. It stops in a time of:

A wheel starts from rest and has an angular acceleration that is given by $\alpha$ (t)= 6 rad/s⁴)t^2.The angle through which it turns in time t is given by:

The coordinate of an object is given as a function of time by θ = 7t - 3t², where θ is in radians and t is in seconds.Its average velocity over the interval from t = 0 to t = 2 s is:

An object rotates from θ₁ to θ₂ through an angle that is less than 2π radians.Which of the following represents its angular displacement?

A thin rod of length L has a density that increases along its length, ρ = ρ₀x.What is the rotational inertia of the rod around its less dense end?

When a thin uniform stick of mass M and length L is pivoted about its midpoint, its rotational inertia is ML²/12.When pivoted about a parallel axis through one end, its rotational inertia is:

The rotational inertia of a solid uniform sphere about a diameter is (2/5)MR², where M is its mass and R is its radius.If the sphere is pivoted about an axis that is tangent to its surface, its rotational inertia is:

A flywheel of diameter 1.2 m has a constant angular acceleration of 5.0 rad/s².The tangential acceleration of a point on its rim is: